Number Sense Routines that Support the SMPs GLAMC Mini Conference #1 - - PowerPoint PPT Presentation
Number Sense Routines that Support the SMPs GLAMC Mini Conference #1 Susan Tate and Melissa Canham Sept. 27, 2014 Number Sense Number sense is an awareness and understanding about what numbers are, their relationships, their magnitude, the
“Number sense is an awareness and understanding about what numbers are, their relationships, their magnitude, the relative effect of operating on numbers, including the use of mental mathematics and estimation.”
Number Sense and Operation Sense Fennell and Landis (1994)
Grade
Focus Areas in Support of Rich Instruction and Expectations of Fluency and Conceptual Understanding
K-2
Addition and subtraction
concepts, skills, and problem solving, and place value
3-5
Multiplication and division of whole numbers and fractions
concepts, skills, and problem solving
6
Ratios and proportional reasoning; early expressions and equations
7
Ratios and proportional reasoning; arithmetic of rational numbers
8
Linear algebra and linear functions
Problem solving is the focus of instruction;
teachers pose a variety of problems
Many problem-solving strategies are used to solve
each problem.
Children communicate to their teachers and
peers how they solve the problems.
Teachers understand children’s problem-solving
strategies and use that knowledge to plan instruction.
5 – 15 minutes during the opening of math time Short lesson alongside (but not necessarily
directly related to) the ongoing math curriculum
Provide students with meaningful ongoing
practice with:
Developing Number Sense Developing fluency with small numbers Subitizing Making Tens
Number Talks
1.
Make sense of problems and persevere in solving them.
2.
Reason abstractly and quantitatively.
3.
Construct viable arguments and critique the reasoning of
4.
Model with mathematics.
5.
Use appropriate tools strategically.
6.
Attend to precision
7.
Look for and make use of structure
8.
Look for and express regularity in repeated reasoning.
Open ended exploration around a given
number
than one way?
create your number sentence?
create your number sentence?
your equations?
Combinations of Ten Part-part-whole Commutative Property of Addition Using the 10 structure
Computational fluency refers to having efficient and accurate methods for computing. Students exhibit computational fluency when they demonstrate flexibility in the computational methods they choose, understand and can explain these methods, and produce accurate answers
uses should be based on mathematical ideas that the student understands well, including the structure of the base-ten number system, properties of addition and subtraction and multiplication and division, and number relationships.
Principles and Standards for School Mathematics p. 152
1.
Make sense of problems and persevere in solving them.
2.
Reason abstractly and quantitatively.
3.
Construct viable arguments and critique the reasoning of
4.
Model with mathematics.
5.
Use appropriate tools strategically.
6.
Attend to precision
7.
Look for and make use of structure
8.
Look for and express regularity in repeated reasoning.
Conklin, Melissa. It Makes Sense! Using the
Hundreds Chart to Build Number Sense. Math Solutions, 2012
Parrish, Sherry. Number Talks. Math
Solutions, 2010
Shumway, Jessica. Number Sense Routines.
Stenhouse Publishers, 2011.